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Lana71 [14]
3 years ago
14

Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

steps below

Step-by-step explanation:

(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12

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makvit [3.9K]

Answer:

3x-2 ≥ 4

Step-by-step explanation:

3x-2 _ 4

3x _ 4+2

3x _ 6

x _ 2

Therefore, x ≥ 2

3x-2 ≥ 4

5 0
4 years ago
Solve this inequality.<br> - 4x + 2&gt; -14
chubhunter [2.5K]

Answer:

subtract by -2 on both side

-4x+2-2>-14-2

-4x>-16

dividing by -4 on both side

-4x/-4>-16/-4

then

x>4

3 0
3 years ago
What is the slope of the graph of 4 x + 8 y = 11?
Karolina [17]

Answer:

B  -1/2

Step-by-step explanation:

4x+8y = 11

We need to get the equation in the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

Subtract 4x from each side

4x-4x+8y = -4x+11

8y = -4x+11

Divide by 8

8y/8 = -4x/8 +11/8

y = -1/2x +11/8

The slope is -1/2 and the y intercept is 11/8

8 0
3 years ago
Read 2 more answers
The volume of a cube of ice for an ice sculpture is 64,000 cubic inches.
Sophie [7]
edge length is 40 inches.

The edge length of a cube has the same measurement. 
Volume of a cube is computed by multiplying the edge length to itself twice.

Volume = edge length x edge length x edge length

If the given data is volume of the cube and edge length is required. simply find the cube root of the volume.

edge length = ∛volume
edge length = ∛64000 in³
edge length = 40 inches.

To check:
40 x 40 = 1600 x 40 = 64000 
5 0
3 years ago
-5 ≤ -2; Add 7 to both sides<br><br> Help pls
Dvinal [7]

Answer:

2 ≤ 5

Step-by-step explanation:

-5 ≤ -2 add 7 to both sides

-5+7 ≤ -2+7 calculate

2 ≤ 5

6 0
3 years ago
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